+0  
 
0
78
1
avatar

Sharon has some one dollar bills and some five dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations to find how many of each kind of bill she has.

 Feb 20, 2021
 #1
avatar+944 
+1

Let x be the number of one dollar bills and y be the number of five dollar bills. We can write a system of equations:

 

14 bills in total ==> x + y = 14                     . (1)

value of bills is $30 ==> x + 5y = 30           . (2)

 

Multiply equation (1) by 5.

 

5x + 5y = 70

x + 5y = 30

 

We get 4x = 40, so x = 10 and y = 4. Sharon has 10 $1 bills and 4 $5 bills.

 Feb 20, 2021

20 Online Users

avatar
avatar
avatar
avatar